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Finding the Fourth Proportional to 201,107.07, 277,531.11 and 110,466.86

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Solution

The fourth proportional to 201,107.07, 277,531.11 and 110,466.86 is: 152,446.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,107.07 : 277,531.11 = 110,466.86 : x
  2. Step 2: Convert to fraction form
    201,107.07/277,531.11 = 110,466.86/x
  3. Step 3: Cross multiply
    201,107.07x = 277,531.11 × 110,466.86
  4. Step 4: Simplify right side
    201,107.07x = 30,657,988,886.36
  5. Step 5: Solve for x
    x = 30,657,988,886.36/201,107.07
  6. Step 6: Final answer
    x = 152,446.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.